Finding the Third Proportional to 1,580.06 and 3,114.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,580.06 : 3,114.56 = 3,114.56 : x
2. Step 2: Convert to fraction form
   1,580.06/3,114.56 = 3,114.56/x
3. Step 3: Cross multiply
   1,580.06x = 3,114.56 × 3,114.56
4. Step 4: Simplify right side
   1,580.06x = 9,700,499.57
5. Step 5: Solve for x
   x = 9,700,499.57/1,580.06
6. Step 6: Final answer
   x = 6,139.31